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Finding the Third Proportional to 98,677 and 150,472

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Solution

The third proportional to 98,677 and 150,472 is: 229,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,677 : 150,472 = 150,472 : x
  2. Step 2: Convert to fraction form
    98,677/150,472 = 150,472/x
  3. Step 3: Cross multiply
    98,677x = 150,472 × 150,472
  4. Step 4: Simplify right side
    98,677x = 22,641,822,784
  5. Step 5: Solve for x
    x = 22,641,822,784/98,677
  6. Step 6: Final answer
    x = 229,453.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.